Just wanted to drop one anecdotal note here. I have different prescription strength for my contact lenses. While seeing if I could reduce the difference between the eyes again I noticed that with one combo it felt like a short blackness upon moving my vision over larger distances. This was rather prominent. As far as I could tell this wasn't blinking and I researched a bit on out suppression at that time. Felt like some switch was happening.
I've had tons of eye checks and adjustments. My measured strength is -2 and -2.75. That gives issues pretty fast, and I've used -2.25 and -3 for half a year or so. After extensive experimentation I ended up using -2,5 and -2.75 that for some bizarre reason works really well with my Retina screens. What seemed like suppression happened with -2.5 and -3.
I know in some cases it can be helpful to reduce the strength of one eye to prevent switching back and forth on what eye takes lead. Might be worthwhile for others here to do some actual experimentation with prescription adjustments for a few hours each, instead of blindly assuming that the adviced strength is what works best.